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2 years ago

Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5

Mathematics

1 answer:

lakkis [162]2 years ago

8 0

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x:

x^3 + 3 x^2 - 9 x + 5 = 0

The left hand side factors into a product with two terms:

(x - 1)^2 (x + 5) = 0

Split into two equations:

(x - 1)^2 = 0 or x + 5 = 0

Take the square root of both sides:

x - 1 = 0 or x + 5 = 0

Add 1 to both sides:

x = 1 or x + 5 = 0

Subtract 5 from both sides:

Answer: x = 1 or x = -5

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The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o

Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

$40\times 4\\\\=160\ hours$

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

$\dfrac{4000}{160}\\\\=25$

Hence, there are 25 FTEs.

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2 years ago

Dylan invested $1800 in an scoping that pays 3.75% interest compounded annually. Assuming no deposits or withdrawals are made, f

julsineya [31]

Answer:

2244.9

Step-by-step explanation:

Anually compound interest formula

PV(1+i)^t

1800(1+.0375)^6

1800*1.0375^6

2244.921387 which rounds to

2244.9

8 0

2 years ago

A 70" TV is advertised on sale at a local store. What are the length and width of the television?

a_sh-v [17]

The length and width of the television could be any two numbers whose product is 70.

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3 years ago

How do you eliminate 6x-12y=24 along with -x-6y=4

liraira [26]

First you need to multiply by a factor that will givr you the same value in one of the x or y value.
(6x-12y=24)1
+(-x-6y=4)-2
6x-12y=24
=2x+12y=-8
8x=16÷8
x=2
now that you have x, substitute x by 2 in one of the eqauations
-2-6y=4
+2. +2
=-6y=6
÷-6. ÷-6
y=-1

5 0

2 years ago

The length of the minute hand of a clock is

svetlana [45]

Answer:

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

pi = 22/7

To Find:

The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is

Circumference, C = ?

Solution:

Circumference, is given by,

$Circumference = 2\pi r$

$Circumference = 2\times \dfrac{22}{7}\times 14=88\ inches$

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

7 0

2 years ago